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Finding the Fourth Proportional to 786.05, 1,084.12 and 697.59

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Solution

The fourth proportional to 786.05, 1,084.12 and 697.59 is: 962.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.05 : 1,084.12 = 697.59 : x
  2. Step 2: Convert to fraction form
    786.05/1,084.12 = 697.59/x
  3. Step 3: Cross multiply
    786.05x = 1,084.12 × 697.59
  4. Step 4: Simplify right side
    786.05x = 756,271.27
  5. Step 5: Solve for x
    x = 756,271.27/786.05
  6. Step 6: Final answer
    x = 962.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.